How Integration the step??

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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How Integration the step??
Ex2:- In a region near the origin current density is in the radial (out word)
direction with a value of 10r-1.5A/m?
a) How much curent is crossing the spherical surface r= 1mm
b) Repeat for r= 2mm
c) At what rate is Po inereasing at apoint where r= Imm
d) At what rate is the total charge increasing with in the sphere r = Imm
Solution:
a- J=10 r-1.5 ār A/m2
1= SJ.ds
but
ds = r'sino do dø ār
(10r-1.5) (r²sin® dodø) = 10 r [47]
:I = 10/10-3 [4n] =
= 3.97 A
V10
%3D
Transcribed Image Text:Ex2:- In a region near the origin current density is in the radial (out word) direction with a value of 10r-1.5A/m? a) How much curent is crossing the spherical surface r= 1mm b) Repeat for r= 2mm c) At what rate is Po inereasing at apoint where r= Imm d) At what rate is the total charge increasing with in the sphere r = Imm Solution: a- J=10 r-1.5 ār A/m2 1= SJ.ds but ds = r'sino do dø ār (10r-1.5) (r²sin® dodø) = 10 r [47] :I = 10/10-3 [4n] = = 3.97 A V10 %3D
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